Most probable transition paths in piecewise-smooth stochastic differential equations
暂无分享,去创建一个
[1] Eoghan J. Staunton,et al. Estimating the dynamics of systems with noisy boundaries , 2020 .
[2] D. Rothman,et al. Routes to global glaciation , 2020, Proceedings of the Royal Society A.
[3] Lawrence C. Evans,et al. Weak convergence methods for nonlinear partial differential equations , 1990 .
[4] Ulrike Feudel,et al. Minimal fatal shocks in multistable complex networks , 2020, Scientific Reports.
[5] T. Lenton. Early warning of climate tipping points , 2011 .
[6] S. Brendle,et al. Calculus of Variations , 1927, Nature.
[7] Large-deviation properties of Brownian motion with dry friction. , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.
[8] Eric Vanden-Eijnden,et al. Noise-induced mixed-mode oscillations in a relaxation oscillator near the onset of a limit cycle. , 2008, Chaos.
[9] N. Berglund. Kramers' law: Validity, derivations and generalisations , 2011, 1106.5799.
[10] Peter Cox,et al. Tipping points in open systems: bifurcation, noise-induced and rate-dependent examples in the climate system , 2011, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[11] Eoghan J. Staunton,et al. Discontinuity mappings for stochastic nonsmooth systems , 2020 .
[12] Andrew M. Stuart,et al. Gaussian Approximations for Transition Paths in Brownian Dynamics , 2017, SIAM J. Math. Anal..
[13] Ira B. Schwartz,et al. An iterative action minimizing method for computing optimal paths in stochastic dynamical systems , 2012, 1210.5153.
[14] Yuri A. Kuznetsov,et al. One-Parameter bifurcations in Planar Filippov Systems , 2003, Int. J. Bifurc. Chaos.
[15] Ian Eisenman,et al. Factors controlling the bifurcation structure of sea ice retreat , 2012 .
[16] Mike R. Jeffrey,et al. Hidden dynamics in models of discontinuity and switching , 2014 .
[17] E. Lorenz. Deterministic nonperiodic flow , 1963 .
[18] D. Rothman. Characteristic disruptions of an excitable carbon cycle , 2019, Proceedings of the National Academy of Sciences.
[19] Robert S. Maier,et al. Limiting Exit Location Distributions in the Stochastic Exit Problem , 1994, SIAM J. Appl. Math..
[20] I. Eisenmana,et al. Nonlinear threshold behavior during the loss of Arctic sea ice , 2008 .
[21] D. Novaes,et al. Regularization of hidden dynamics in piecewise smooth flows , 2014, 1412.2099.
[22] P. Cox,et al. Excitability in ramped systems: the compost-bomb instability , 2011, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[23] I. Schwartz,et al. Maximal Sensitive Dependence and the Optimal Path to Epidemic Extinction , 2010, Bulletin of mathematical biology.
[24] Eric Vanden-Eijnden,et al. Transition-path theory and path-finding algorithms for the study of rare events. , 2010, Annual review of physical chemistry.
[25] W. Moon,et al. A Stochastic Dynamical Model of Arctic Sea Ice , 2015, 1510.00355.
[26] Sebastian Wieczorek,et al. Phase tipping: how cyclic ecosystems respond to contemporary climate , 2021, Proceedings of the Royal Society A.
[27] Detlef Dürr,et al. The Onsager-Machlup function as Lagrangian for the most probable path of a diffusion process , 1978 .
[28] Eric Forgoston,et al. Seasonal forcing in stochastic epidemiology models , 2018 .
[29] Mario di Bernardo,et al. Bifurcations in Nonsmooth Dynamical Systems , 2008, SIAM Rev..
[30] I. Gyöngy,et al. Existence of strong solutions for Itô's stochastic equations via approximations , 1996 .
[31] A. Baule,et al. A path integral approach to random motion with nonlinear friction , 2009, 0910.4663.
[32] William L. Kath,et al. An Iterative Stochastic Method for Simulating Large Deviations and Rare Events , 2011, SIAM J. Appl. Math..
[33] Tiejun Li,et al. Gamma-Limit of the Onsager-Machlup Functional on the Space of Curves , 2021, SIAM J. Math. Anal..
[34] Eric Forgoston,et al. A Primer on Noise-Induced Transitions in Applied Dynamical Systems , 2017, SIAM Rev..
[35] Jürgen Kurths,et al. Metastability for discontinuous dynamical systems under Lévy noise: Case study on Amazonian Vegetation , 2017, Scientific Reports.
[36] G. Burton. Sobolev Spaces , 2013 .
[37] Gianni Dal Maso,et al. An Introduction to [gamma]-convergence , 1993 .
[38] E Weinan,et al. Minimum action method for the study of rare events , 2004 .
[39] M. Freidlin,et al. Random Perturbations of Dynamical Systems , 1984 .
[40] Marten Scheffer,et al. Pulse-Driven Loss of Top-Down Control: The Critical-Rate Hypothesis , 2008, Ecosystems.
[41] Rachel Kuske,et al. The influence of localized randomness on regular grazing bifurcations with applications to impacting dynamics , 2015, 1502.02724.
[42] Dorian S. Abbot,et al. Analysis of an Arctic Sea Ice Loss Model in the Limit of a Discontinuous Albedo , 2015, SIAM J. Appl. Dyn. Syst..
[43] Jonathan Weare,et al. Path Properties of Atmospheric Transitions: Illustration with a Low-Order Sudden Stratospheric Warming Model , 2020, Journal of the Atmospheric Sciences.
[44] E. Vanden-Eijnden,et al. The geometric minimum action method: A least action principle on the space of curves , 2008 .
[45] Jan Sieber,et al. Climate tipping as a noisy bifurcation: a predictive technique , 2010, 1007.1376.
[46] P. Ditlevsen,et al. Risk of tipping the overturning circulation due to increasing rates of ice melt , 2021, Proceedings of the National Academy of Sciences.
[47] H. Touchette,et al. Stick–slip motion of solids with dry friction subject to random vibrations and an external field , 2010, 1008.3531.
[48] H. Touchette,et al. Weak-noise limit of a piecewise-smooth stochastic differential equation. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.
[49] Andrea Braides. Gamma-Convergence for Beginners , 2002 .
[50] Adam H. Monahan,et al. Stabilization of Climate Regimes by Noise in a Simple Model of the Thermohaline Circulation , 2002 .
[51] K. Aihara,et al. Bifurcations and strange nonchaotic attractors in a phase oscillator model of glacial–interglacial cycles , 2015, 1506.04628.
[52] G. M.,et al. Partial Differential Equations I , 2023, Applied Mathematical Sciences.
[53] Andreas Neuenkirch,et al. An Adaptive Euler-Maruyama Scheme for Stochastic Differential Equations with Discontinuous Drift and its Convergence Analysis , 2018, SIAM J. Numer. Anal..
[54] Sebastian Wieczorek,et al. Tipping Phenomena and Points of No Return in Ecosystems: Beyond Classical Bifurcations , 2019, SIAM J. Appl. Dyn. Syst..
[55] Mason A. Porter,et al. Prey Switching with a Linear Preference Trade-Off , 2013, SIAM J. Appl. Dyn. Syst..
[56] Barbara Gentz,et al. Metastability in simple climate models: Pathwise analysis of slowly driven Langevin equations , 2002 .
[57] E. Vanden-Eijnden,et al. String method for the study of rare events , 2002, cond-mat/0205527.
[58] A. M. Stuart,et al. Γ-Limit for Transition Paths of Maximal Probability , 2011, 1101.3920.
[59] Tobias Grafke,et al. String method for generalized gradient flows: computation of rare events in reversible stochastic processes , 2018, Journal of Statistical Mechanics: Theory and Experiment.
[60] David J. W. Simpson,et al. Mixed-mode oscillations in a stochastic, piecewise-linear system , 2010, 1010.1504.
[61] U. Feudel,et al. When very slow is too fast - collapse of a predator-prey system. , 2019, Journal of theoretical biology.
[62] Aleksej F. Filippov,et al. Differential Equations with Discontinuous Righthand Sides , 1988, Mathematics and Its Applications.
[63] J. García-Ojalvo,et al. Effects of noise in excitable systems , 2004 .
[64] C. Budd,et al. An analysis of the periodically forced PP04 climate model, using the theory of non-smooth dynamical systems , 2020, 2005.08561.
[65] P. Glendinning,et al. An Introduction to Piecewise Smooth Dynamics , 2019, Advanced Courses in Mathematics - CRM Barcelona.
[66] Eric Forgoston,et al. Converging towards the optimal path to extinction , 2011, Journal of The Royal Society Interface.
[67] I. Schwartz,et al. Rare events in networks with internal and external noise , 2017, 1802.09320.
[68] J. Drake,et al. Early warning signals of extinction in deteriorating environments , 2010, Nature.
[69] I. Gyöngy. A note on Euler's Approximations , 1998 .
[70] C. Budd,et al. Review of ”Piecewise-Smooth Dynamical Systems: Theory and Applications by M. di Bernardo, C. Budd, A. Champneys and P. 2008” , 2020 .